A model rocket is launched from the deck in Jim's backyard and the path followed by the rocket can be modeled by the relation

h=-5t^2 +100t +15,
where h, in metres, is the height that the model rocket reaches after t seconds.

What is the height of the deck?
What is the maximum height reached by the rocket?

1 answer

when t=0, the rocket is on the deck, right?
so, what is h(0)?

the max height is reached when t = -b/2a = 10
so, what is h(10)